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Stability of functional equations of Drygas in the space of Schwartz distributions
Authors:Linsong Li  Dohan Kim
Affiliation:a Department of Mathematics, Yanbian University, YianJi 133002, China
b Department of Mathematics, Seoul National University, Seoul 151-747, South Korea
c Department of Mathematics, Kunsan National University, Kunsan 573-701, South Korea
Abstract:In this paper we reformulate and prove the stability theorems of S.M. Jung and P.K. Sahoo [S.M. Jung, P.K. Sahoo, Stability of a functional equation of Drygas, Aequationes Math. 64 (2002) 263-273] in the spaces of generalized functions such as the Schwartz distributions and tempered distributions.
Keywords:Gauss transforms   Heat kernel   Distributions   Functional equation   Stability
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